28225163805696 has 2079 divisors, whose sum is σ = 103084020651717. Its totient is φ = 7711542558720.

The previous prime is 28225163805637. The next prime is 28225163805701. The reversal of 28225163805696 is 69650836152282.

The square root of 28225163805696 is 5312736.

It is a perfect power (a square), and thus also a powerful number.

28225163805696 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 5 + 1 + 63 + 8 + 0 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4175320089600 + 24049843716096 = 2043360^2 + 4904064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 656399158251 + ... + 656399158293.

Almost surely, 2^{28225163805696} is an apocalyptic number.

28225163805696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

28225163805696 is the 5312736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28225163805696

28225163805696 is an abundant number, since it is smaller than the sum of its proper divisors (74858856846021).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28225163805696 is an equidigital number, since it uses as much as digits as its factorization.

28225163805696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 28225163805696 in words is "twenty-eight trillion, two hundred twenty-five billion, one hundred sixty-three million, eight hundred five thousand, six hundred ninety-six".